ALLSAT compressed with wildcards: From CNF's to orthogonal DNF's by imposing the clauses one by one
August 30, 2016 Β· Declared Dead Β· π arXiv.org
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Authors
Marcel Wild
arXiv ID
1608.08472
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.LO
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We present a novel technique for converting a Boolean CNF into an orthogonal DNF, aka exclusive sum of products. Our method (which will be pitted against a hardwired command from Mathematica) zooms in on the models of the CNF by imposing its clauses one by one. Clausal Imposition invites parallelization, and wildcards beyond the common don't-care symbol compress the output. The method is most efficient for few but large clauses. Generalizing clauses one can in fact impose superclauses. By definition, superclauses are obtained from clauses by substituting each positive litereal by an arbitrary conjunction of positive literals.
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